Modification of Pickands' Dependence Function for Ordered Bivariate Extreme Distribution
Mohd Bakri Adam
Department of Mathematics, Universiti Putra Malaysia, Serdang, MalaysiaJonathan A. Tawn
Department of Mathematics and Statistics, Lancaster University, Lancaster, United Kingdom
2011en
ABI
Abstract
We study the characteristics of the Pickands' dependence function for bivariate extreme distribution for minima, BEVM, when considering the stochastics ordering of the two variables, X < Y. The existing Pickand's dependence function terminologies and theories are modified to suit the dependence functions of extreme minimum cases. The main result is the introduction of the restricted logistic dependence function, A RL, and the restricted exponential function, V RL(x, y).
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